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Finding the Fourth Proportional to 141,908.26, 195,833.38 and 78,247.38

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Solution

The fourth proportional to 141,908.26, 195,833.38 and 78,247.38 is: 107,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,908.26 : 195,833.38 = 78,247.38 : x
  2. Step 2: Convert to fraction form
    141,908.26/195,833.38 = 78,247.38/x
  3. Step 3: Cross multiply
    141,908.26x = 195,833.38 × 78,247.38
  4. Step 4: Simplify right side
    141,908.26x = 15,323,448,901.54
  5. Step 5: Solve for x
    x = 15,323,448,901.54/141,908.26
  6. Step 6: Final answer
    x = 107,981.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.